Exim4 is installed on vds. How to force to receive letters to all mailboxes?

Question

linux

Rented vds. I installed vesta socket. It comes with a complete set of software for the server. Exim4 is used to send messages. The problem is that the letters only reach google mail. Letters do not reach other mail services (or rather, as I understand it, they simply do not accept them). The problem is hackneyed, but I did not find any clear answer. Below I attached the logs of attempts to send letters to mail.ru

2016-02-04 03:36:50 1aRAiw-0000Yu-Ct ** [email protected]: Unrouteable address
2016-02-04 03:36:50 1aRAiw-0000Yu-Ct Frozen (delivery error message)
2016-02-04 03:36:50 1aRAiw-0000Yp-9o ** емейл_получателя@mail.ru R=dnslookup T=remote_smtp: SMTP error from remote mail server after MAIL FROM:<[email protected]> SIZE=1890: host mxs.mail.ru [94.100.180.150]: 550 Unroutable sender address
2016-02-04 03:36:50 1aRAiw-0000Yy-GV <= <> R=1aRAiw-0000Yp-9o U=Debian-exim P=local S=1752
2016-02-04 03:36:50 1aRAiw-0000Yp-9o Completed

2016-02-04 03:36:50 1aRAiw-0000Yy-GV ** [email protected]: Unrouteable address
2016-02-04 03:36:50 1aRAiw-0000Yy-GV Frozen (delivery error message)
2016-02-04 03:36:51 1aRAix-0000Z3-Jt <= [email protected] U=admin P=local S=833
2016-02-04 03:36:51 1aRAix-0000Z3-Jt ** емейл_получателя@mail.ru R=dnslookup T=remote_smtp: SMTP error from remote mail server after MAIL FROM:<[email protected]> SIZE=1890: host mxs.mail.ru [94.100.180.150]: 550 Unroutable sender address
2016-02-04 03:36:51 1aRAix-0000Z8-Pc <= <> R=1aRAix-0000Z3-Jt U=Debian-exim P=local S=1752
2016-02-04 03:36:51 1aRAix-0000Z3-Jt Completed

2016-02-04 03:36:51 1aRAix-0000Z8-Pc ** [email protected]: Unrouteable address
2016-02-04 03:36:51 1aRAix-0000Z8-Pc Frozen (delivery error message)
2016-02-04 03:36:52 1aRAiy-0000ZD-Fa <= [email protected] U=admin P=local S=833
2016-02-04 03:36:52 1aRAiy-0000ZD-Fa ** емейл_получателя@mail.ru R=dnslookup T=remote_smtp: SMTP error from remote mail server after MAIL FROM:<[email protected]> SIZE=1890: host mxs.mail.ru [94.100.180.150]: 550 Unroutable sender address
2016-02-04 03:36:52 1aRAiy-0000ZI-Lm <= <> R=1aRAiy-0000ZD-Fa U=Debian-exim P=local S=1752
2016-02-04 03:36:52 1aRAiy-0000ZD-Fa Completed

2016-02-04 03:36:52 1aRAiy-0000ZI-Lm ** [email protected]: Unrouteable address
2016-02-04 03:36:52 1aRAiy-0000ZI-Lm Frozen (delivery error message)
2016-02-04 03:37:25 1aRAjV-0000ZN-97 <= [email protected] U=admin P=local S=833
2016-02-04 03:37:25 1aRAjV-0000ZN-97 ** емейл_получателя@mail.ru R=dnslookup T=remote_smtp: SMTP error from remote mail server after MAIL FROM:<[email protected]> SIZE=1890: host mxs.mail.ru [217.69.139.150]: 550 Unroutable sender address
2016-02-04 03:37:25 1aRAjV-0000ZS-Eu <= <> R=1aRAjV-0000ZN-97 U=Debian-exim P=local S=1752
2016-02-04 03:37:25 1aRAjV-0000ZN-97 Completed

2016-02-04 03:37:25 1aRAjV-0000ZS-Eu ** [email protected]: Unrouteable address
2016-02-04 03:37:25 1aRAjV-0000ZS-Eu Frozen (delivery error message)
2016-02-04 03:37:27 1aRAjX-0000ZX-FQ <= [email protected] U=admin P=local S=833
2016-02-04 03:37:27 1aRAjX-0000ZX-FQ ** емейл_получателя@mail.ru R=dnslookup T=remote_smtp: SMTP error from remote mail server after MAIL FROM:<[email protected]> SIZE=1890: host mxs.mail.ru [94.100.180.150]: 550 Unroutable sender address
2016-02-04 03:37:27 1aRAjX-0000Zc-LS <= <> R=1aRAjX-0000ZX-FQ U=Debian-exim P=local S=1752
2016-02-04 03:37:27 1aRAjX-0000ZX-FQ Completed

2016-02-04 03:37:27 1aRAjX-0000Zc-LS ** [email protected]: Unrouteable address
2016-02-04 03:37:27 1aRAjX-0000Zc-LS Frozen (delivery error message)
2016-02-04 03:37:30 1aRAja-0000Zh-UA <= [email protected] U=admin P=local S=833
2016-02-04 03:37:31 1aRAja-0000Zh-UA ** емейл_получателя@mail.ru R=dnslookup T=remote_smtp: SMTP error from remote mail server after MAIL FROM:<[email protected]> SIZE=1890: host mxs.mail.ru [217.69.139.150]: 550 Unroutable sender address
2016-02-04 03:37:31 1aRAjb-0000Zm-3i <= <> R=1aRAja-0000Zh-UA U=Debian-exim P=local S=1752
2016-02-04 03:37:31 1aRAja-0000Zh-UA Completed

2016-02-04 03:37:31 1aRAjb-0000Zm-3i ** [email protected]: Unrouteable address
2016-02-04 03:37:31 1aRAjb-0000Zm-3i Frozen (delivery error message)
2016-02-04 03:37:45 1aRAjp-0000ad-Mv <= [email protected] U=admin P=local S=833
2016-02-04 03:37:45 1aRAjp-0000ad-Mv ** емейл_получателя@mail.ru R=dnslookup T=remote_smtp: SMTP error from remote mail server after MAIL FROM:<[email protected]> SIZE=1890: host mxs.mail.ru [94.100.180.150]: 550 Unroutable sender address
2016-02-04 03:37:45 1aRAjp-0000ai-SS <= <> R=1aRAjp-0000ad-Mv U=Debian-exim P=local S=1752
2016-02-04 03:37:45 1aRAjp-0000ad-Mv Completed

2016-02-04 03:37:45 1aRAjp-0000ai-SS ** [email protected]: Unrouteable address
2016-02-04 03:37:45 1aRAjp-0000ai-SS Frozen (delivery error message)
2016-02-04 03:39:36 1aRAlc-0000cY-UZ <= [email protected] U=admin P=local S=833
2016-02-04 03:39:37 1aRAlc-0000cY-UZ ** емейл_получателя@mail.ru R=dnslookup T=remote_smtp: SMTP error from remote mail server after MAIL FROM:<[email protected]> SIZE=1890: host mxs.mail.ru [217.69.139.150]: 550 Unroutable sender address
2016-02-04 03:39:37 1aRAld-0000cd-4j <= <> R=1aRAlc-0000cY-UZ U=Debian-exim P=local S=1752
2016-02-04 03:39:37 1aRAlc-0000cY-UZ Completed

Answer 1

Found a solution:
You need to edit /home/user/conf/web/apache2.conf, where user is the username in Vesta
For the VirtualHost we need (see ServerName), add the line:
php_admin_value sendmail_path "/usr/sbin/sendmail -t - i -f [email protected]
now in Return-Path and other headers we have [email protected]

Answer 2

And do not forget to register DKIM and SPF for domains.
Without this letter, too, can freeze.